PREC12 Rational Functions Name: ________________________________________
Worksheet
Analyze each function and predict the location of any VERTICAL asymptotes, HORIZONTAL asymptotes, HOLES (points of
discontinuity), x- and y-INTERCEPTS, DOMAIN, and RANGE.
Characteristic
2 1
7
x
x
y
โ
โ
=
2
2
5
7 10
+
+ +
=
x x
x x
y
2
2
7 12
9
โ +
โ
=
x x
x
y
2
2 5 3
3
+ โ
+
=
x x
x
y
Vertical Asymptote(s)
Analyze Denominator
Horizontal
Asymptote(s)
Analyze Degrees of
Polynomial (num/den)
(m<n, m=n, m>n)
HOLES
Point(s) of
Discontinuity
Simplify the Rational
Function by factoring
x-intercept(s)
Set y=0
y-intercept
Set x=0
Domain
Range
